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Finding the Third Proportional to 27,073 and 39,379

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Solution

The third proportional to 27,073 and 39,379 is: 57,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,073 : 39,379 = 39,379 : x
  2. Step 2: Convert to fraction form
    27,073/39,379 = 39,379/x
  3. Step 3: Cross multiply
    27,073x = 39,379 × 39,379
  4. Step 4: Simplify right side
    27,073x = 1,550,705,641
  5. Step 5: Solve for x
    x = 1,550,705,641/27,073
  6. Step 6: Final answer
    x = 57,278.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.